Find a linear inequality with the following solution set. Each grid line represents one unit.

(Give your answer in the form \(ax+by+c>0\) or \(ax+by+c ≥0\) where \(a, b,\) and \(c\) are integers with no common factor greater than 1.)

**I don't understand how to input the answer so please help clarify for me!**

Keihaku Nov 7, 2022

#5**+2 **

First consider the red dashed line. The y-intercept is -1. The slope is 2/1 = 2.

Therefore the equation of the line can be written as y = 2x - 1

The yellow region is below y, so the yellow region ca be expressed as y < 2x - 1

However, you are asked to exress it in the form ax + by + c >0, so subtract y from both sides of the previous equation to get 0 < 2x - y - 1

This is the same as 2x - y - 1 > 0

I've used > rather than >=, but if the yellow region is meant to include the red line then replace > by >=.

Alan Nov 17, 2022